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Simplifying 7(w + 5) = 6w + -6 Reorder the terms: 7(5 + w) = 6w + -6 (5 * 7 + w * 7) = 6w + -6 (35 + 7w) = 6w + -6 Reorder the terms: 35 + 7w = -6 + 6w Solving 35 + 7w = -6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 35 + 7w + -6w = -6 + 6w + -6w Combine like terms: 7w + -6w = 1w 35 + 1w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 35 + 1w = -6 + 0 35 + 1w = -6 Add '-35' to each side of the equation. 35 + -35 + 1w = -6 + -35 Combine like terms: 35 + -35 = 0 0 + 1w = -6 + -35 1w = -6 + -35 Combine like terms: -6 + -35 = -41 1w = -41 Divide each side by '1'. w = -41 Simplifying w = -41
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